Question

What is the Net force of the diagram below? Is this a balanced or unbalanced force? a) 20 N, balanced b) 20 N, unbalanced c) 60 N, balanced d) 60 N, unbalanced

Answer 1

Using the Pythagorean theorem, the net force of a northward 64 N force and a westward 38 N force is approximately 74.43 N. The correct answer is not listed in the provided options; it is an unbalanced force because the net force is not zero.

Step-by-step explanation:

The student's question relates to finding the net force and determining whether the force is balanced or unbalanced. Given a northward force of 64 N and a westward force of 38 N, the net force can be calculated using the Pythagorean theorem because these forces are perpendicular to each other. The square root of the sum of the squares of these forces gives us the magnitude of the net force:

• Net Force = √(64N)² + (38N)²
• = √(4096 + 1444)
• = √5540
• ≈ 74.43 N

This is the net force; it is not zero, hence it is an unbalanced force. Therefore, the correct answer is not listed among the options provided by the student. It should be 74.43 N, unbalanced.